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Topologie paire
rappel: une topologie paire cré une difference primaire double par raport a une topologie impaire c'est a dire:
pour B=4 , C=5 et A=3
Matrice résumée des differences de volumes
Topologie impaire
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Topologie paire
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3 |
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4 |
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5 |
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6 |
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7 |
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8 |
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9 |
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10 |
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11 |
dépasse les 2000 termes ! |
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Ces matrices / formules sont vérifiées jusqu'à la puissance de 4 , vous pouvez vous même tester sur 
A partir de ce point, c'est vrai , j'utilise l'informatique , a titre d'amusement la sortie de eq_simplifier (débrider avec une pile de 2000 nombres) pour une topologie paire de 9:
(b^18+4b^16+4b^16+16b^14+4b^16+16b^14+16b^14+64b^12+4b^16+16b^14+16b^14+64b^12+16b^14+64b^12+64b^12+256b^10+4b^16+16b^14+16b^14+64b^12+16b^14+64b^12+64b^12+256b^10+16b^14+64b^12+
64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+4b^16+16b^14+16b^14+64b^12+16b^14+64b^12+64b^12+256b^10+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+16b^14+64b^12+
64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+4b^16+16b^14+16b^14+64b^12+16b^14+64b^12+64b^12+256b^10+16b^14+64b^12+
64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+16b^14+
64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+
256b^10+1024b^8+1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+16384b^4+4b^16+16b^14+16b^14+64b^12+16b^14+64b^12+64b^12+256b^10+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+
16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+
64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+256b^10+1024b^8+1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+
16384b^4+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+
1024b^8+4096b^6+256b^10+1024b^8+1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+16384b^4+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+256b^10+1024b^8+1024b^8+4096b^6+1024b^8+
4096b^6+4096b^6+16384b^4+256b^10+1024b^8+1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+16384b^4+1024b^8+4096b^6+4096b^6+16384b^4+4096b^6+16384b^4+16384b^4+65536b^2+4b^16+16b^14+16b^14+64b^12+
16b^14+64b^12+64b^12+256b^10+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+256b^10+1024b^8+
256b^10+1024b^8+1024b^8+4096b^6+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+64b^12+256b^10+256b^10+
1024b^8+256b^10+1024b^8+1024b^8+4096b^6+256b^10+1024b^8+1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+16384b^4+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+
256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+256b^10+1024b^8+1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+16384b^4+64b^12+
256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+256b^10+1024b^8+1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+16384b^4+256b^10+1024b^8+
1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+16384b^4+1024b^8+ .... autants de termes !!!
Patrick Stoltz le 181/0/2009 – dépôt INPI en cours-